Search a number
-
+
5086000864 = 257219315507
BaseRepresentation
bin1001011110010011…
…00011011011100000
3111010110012121120101
410233021203123200
540404004011424
62200402352144
7240015202600
oct45711433340
914113177511
105086000864
11217aa077aa
12b9b35b654
13630910489
1436368ac00
151eb793344
hex12f2636e0

5086000864 has 144 divisors (see below), whose sum is σ = 12658705920. Its totient is φ = 1998017280.

The previous prime is 5086000837. The next prime is 5086000867. The reversal of 5086000864 is 4680006805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086000867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920799 + ... + 926305.

It is an arithmetic number, because the mean of its divisors is an integer number (87907680).

Almost surely, 25086000864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329352960).

5086000864 is an abundant number, since it is smaller than the sum of its proper divisors (7572705056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5086000864 is a wasteful number, since it uses less digits than its factorization.

5086000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 5086000864 is about 71316.2033762314. The cubic root of 5086000864 is about 1719.7242283670.

The spelling of 5086000864 in words is "five billion, eighty-six million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 392 434 496 532 589 608 784 868 931 992 1064 1178 1519 1568 1736 1862 2128 2356 3038 3472 3724 4123 4256 4712 5507 6076 6944 7448 8246 9424 11014 12152 14896 16492 18848 22028 24304 28861 29792 32984 38549 44056 48608 57722 65968 77098 88112 104633 115444 131936 154196 170717 176224 209266 230888 269843 308392 341434 418532 461776 539686 616784 682868 732431 837064 923552 1079372 1195019 1233568 1365736 1464862 1674128 2158744 2390038 2731472 2929724 3243623 3348256 4317488 4780076 5127017 5462944 5859448 6487246 8365133 8634976 9560152 10254034 11718896 12974492 16730266 19120304 20508068 22705361 23437792 25948984 33460532 38240608 41016136 45410722 51897968 66921064 82032272 90821444 103795936 133842128 158937527 164064544 181642888 267684256 317875054 363285776 635750108 726571552 1271500216 2543000432 5086000864